EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Vector Algebra>SRMJEEE (UG) 2015>Q 5

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If $\vec{a} = \hat{i} + \hat{j} + \hat{k}, \vec{b} = \hat{i} - \hat{j} + \hat{k}, \vec{c} = \hat{i} + 2 \hat{j} - \hat{k}$
then $|\begin{array}{l} \vec{a} \cdot \vec{a} & \bar{a} \cdot \vec{b} & \vec{a} \cdot \vec{c} \\ \vec{b} \cdot \vec{a} & \vec{b} \cdot \vec{b} & \vec{b} \cdot \bar{c} \\ \vec{c} \cdot \vec{a} & \vec{c} \cdot \vec{b} & \vec{c} \cdot \vec{c} \end{array}| =$

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Important Questions on Vector Algebra

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 23 - Vector Algebra>SRMJEEE (UG) 2014>Q 6

If

| \vec{a} | = 2, | \vec{b} | = 3, | \vec{c} | = 4

and

\vec{a} + \vec{b} + \vec{c} = \vec{0},

then the value of

\vec{b} \cdot \vec{c} + \vec{c} \cdot \vec{a} + \vec{a} \cdot \vec{b}

is equal to